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Finding the Fourth Proportional to 677.50, 1,015.86 and 312.10

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Solution

The fourth proportional to 677.50, 1,015.86 and 312.10 is: 467.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.50 : 1,015.86 = 312.10 : x
  2. Step 2: Convert to fraction form
    677.50/1,015.86 = 312.10/x
  3. Step 3: Cross multiply
    677.50x = 1,015.86 × 312.10
  4. Step 4: Simplify right side
    677.50x = 317,049.91
  5. Step 5: Solve for x
    x = 317,049.91/677.50
  6. Step 6: Final answer
    x = 467.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.